28064309760 has 400 divisors, whose sum is σ = 103000329432. Its totient is φ = 7299072000.

The previous prime is 28064309737. The next prime is 28064309761. The reversal of 28064309760 is 6790346082.

28064309760 is a `hidden beast` number, since 280 + 6 + 4 + 309 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10779422976 + 17284886784 = 103824^2 + 131472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28064309761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8500110 + ... + 8503410.

Almost surely, 2^28064309760 is an apocalyptic number.

28064309760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28064309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51500164716).

28064309760 is an abundant number, since it is smaller than the sum of its proper divisors (74936019672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28064309760 is an equidigital number, since it uses as much as digits as its factorization.

28064309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 28064309760 in words is "twenty-eight billion, sixty-four million, three hundred nine thousand, seven hundred sixty".